Fishburn and Reeds [FiRe92] have found a convex polygon on 20 points such that
every vertex has three vertices equidistant from it (and this distance is the same for all vertices).
[FiRe92] Fishburn, P. C. and Reeds, J. A., _Unit distances between vertices of a convex polygon_. Comput. Geom. (1992), 81-91.
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